How do you combine like terms in #(4x ^ { 4} y ^ { 2} - 9x ^ { 3} y + 3y ) - ( 11x ^ { 4} y ^ { 2} + x ^ { 3} y - 8y + 4x )#?

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Answer 1 · 2017-03-04T05:16:59

#-7x^4y^2-10x^3y+11y-4x#

First Identify like terms

#4x^4y^2# and #11x^4y^2#

#-9x^3y# and #x^3y#

#3y# and #-8y#

And #-4x# has no like terms so we just leave it alone

Now we just subtract each like term

#4x^4y^2 - 11x^4y^2 = -7x^4y^2#

#-9x^3y - x^3y = -10x^3y#

#3y - (-8y) = 11y#

And #-4x# is left over

Now just put everything together to get:

#-7x^4y^2-10x^3y+11y-4x#